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Finding the Fourth Proportional to 37,727.84, 52,067.52 and 24,327

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Solution

The fourth proportional to 37,727.84, 52,067.52 and 24,327 is: 33,573.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,727.84 : 52,067.52 = 24,327 : x
  2. Step 2: Convert to fraction form
    37,727.84/52,067.52 = 24,327/x
  3. Step 3: Cross multiply
    37,727.84x = 52,067.52 × 24,327
  4. Step 4: Simplify right side
    37,727.84x = 1,266,646,559.04
  5. Step 5: Solve for x
    x = 1,266,646,559.04/37,727.84
  6. Step 6: Final answer
    x = 33,573.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.